Use our free GCF of Fractions Calculator tool to compute the GCF of 858/538, 561/568 i.e 33/152792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 858/538, 561/568.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 858/538,561/568
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 858/538,561/568, numerators are 858,561
Denominators are 538,568
The GCF of 858,561 is 33 .
LCM of 538,568 is 152792.
The greatest common factor of 858/538,561/568 = [GCF of 858,561]/[LCM of 538,568]= 33/152792
Therefore, the GCF of 858/538,561/568 is 33/152792.
To find the highest common factor of 858,561, we have to find the factors of both numbers and list the highest common factor.
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 858,561 is 33.
Lets's calculate GCF of 858,561
3 | 858, 561 |
11 | 286, 187 |
26, 17 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 858,561 . The biggest common factor number is the GCF number.
So the greatest common factor 858,561 is 33.
Lets's calculate LCM of 538,568
2 | 538, 568 |
269, 284 |
∴ So the LCM of the given numbers is 2 x 269 x 284 = 152792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/152792
Therefore, the GCF of Fractions 858/538,561/568 is 33/152792
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 538,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,568) x common factors =2 x 1 = 2
LCM(538,568) = ( 538 × 568 ) / 2
LCM(538,568) = 305584 / 2
LCM(538,568) = 152792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 858,561?
The HCF of 858,561 is 33
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 858/538, 561/568?
Answer: GCF of Numerators as per given numbers 858/538, 561/568 is
GCF of Numerators i.e. for 858,561 is 33
LCM of denominators i.e. for 538,568 is 152792.
Thus, GCF of Fractions is 33/152792.Finally, GCF of Fractions for 858/538, 561/568 is 33/152792.